Here's what rhymes with birthdayl.
pale tail tale jail bail stale bale dale pail male scale fail mail sale sail trail nail rail veil frail gale hail shale whale vale wail snail flail hale braille kale taffrail bobtail faille wale hightail detail avail entail email assail curtail quail quale bewail derail pigtail topsail grail impale prevail travail inhale exhale ponytail unveil foresail monorail wassail pellmell lugsail carrell gunwale mainsail martingale swallowtail hangnail tattletale fingernail countervail nonpareil